AC9M7N08

recognise, represent and solve problems involving ratios

Elaborations

AC9M7N08_E1 - using diagrams, physical or virtual materials to represent ratios, recognising that ratios express the quantitative relationship between 2 or more groups; for example, using counters or coloured beads to show the ratios $1:4$ and $1:1:2$
AC9M7N08_E2 - using fractions to solve ratio problems involving comparison of quantities and considering part-part and part-whole relations; for example, dividing a set into the ratio $1:2$ by determining the number of parts as $3$
AC9M7N08_E3 - sharing quantities in a given ratio; for example, sharing an amount of money in a given ratio, such as sharing $\$20$ in the ratio $2:3$
AC9M7N08_E4 - applying ratios to realistic and meaningful contexts; for example, mixing $500$ millilitres of a liquid with a concentration of $1:4$ means $\frac15$ concentrate and $\frac45$ water so, $0.2$ of $500$ millilitres is concentrate and $0.8$ of $500$ millilitres is water; interpreting results in context

Achievement Standard Components

ASMAT706 - They use mathematical modelling to solve practical problems involving rational numbers, percentages and ratios, in financial and other applied contexts, justifying choices of representation.